Subject: NA Digest, V. 22, # 21 NA Digest Monday, June 20, 2022 Volume 22 : Issue 21 Today's Editor: Daniel M. Dunlavy Sandia National Labs [log in to unmask] Today's Topics: Possible Proof of Goldbach's Conjecture MPLAPACK version 2.0.0 alpha released Biological Multiscale Systems, Germany, Sep 2022 Finite Element Symposium, Germany, Sep 2022 Supercomputing Spotlights, ONLINE, Jun 2022 Assistant Professor Position, TU/e University Assistant Positions, Univ of Graz Postdoc Positions, Quantum Computing Algorithms, Univ of Stuttgart PhD/Postdoc Positions, Parametric and random PDEs, Germany PhD Position, Computational Physiology, Univ of Twente, Netherlands PhD Position, H2020 Project ASTROTECH PhD Position, Medical imaging and inverse problems, Univ Innsbruck PhD Position, Modelling and Simulation, FAU Erlangen PhD Position, Optimal control of fluid flows PhD Positions, Scientific Machine Learning Deadline Extension, Copper Mountain Special Issue Contents, Adv Comput Math (ACOM), 48 (3) Subscribe, unsubscribe, change address, or for na-digest archives: http://www.netlib.org/na-digest-html/faq.html Submissions for NA Digest: http://icl.utk.edu/na-digest/ ------------------------------------------------------- From: Peter Schorer [log in to unmask] Date: June 13, 2022 Subject: Possible Proof of Goldbach's Conjecture I invite readers of the two-page paper, "A Possible Proof of Goldbach's Conjecture" on occampress.com to tell me the first sentence that the reader believes contains an error, and what that error is. Following the clarification of some obscurities more than a year ago, I have received no claims of an error in the paper. The strategy is an adaptation of one that has enabled me to apparently solve two other very difficult problems. In brief, it begins with finding a structure that contains all possibilities, and that shows important relationships between them. Peter Schorer ------------------------------------------------------- From: Nakata Maho [log in to unmask] Date: June 15, 2022 Subject: MPLAPACK version 2.0.0 alpha released MPLAPACK version 2.0.0 alpha was released on 2022-06-14. Now, MPLAPACK supports all complex routines and Rectangular Full Packed (RFP) routines, except for those that use iterative refinement. We would like to ask you to try and find issues for this alpha release. Feel free to raise issues on GitHub. MPLAPACK 2.0.0 alpha runs on Linux, macOS, and Windows. MPAPACK is available at https://github.com/nakatamaho/mplapack under the 2-clause BSD license. MPLAPACK is a multiple-precision version of LAPACK. It provides solvers for systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, singular value problems, and related matrix factorizations in arbitrary high accuracy. Supported multiple-precision types are: double (binary64), _Float64x (80-bit extended precision), _Float128 (binary128), dd (approx. binary128), qd (approx. binary256), MPFR (arbitrary precision), and GMP (arbitrary precision). ------------------------------------------------------- From: Alfonso Caiazzo [log in to unmask] Date: June 14, 2022 Subject: Biological Multiscale Systems, Germany, Sep 2022 We are very happy to invite you to our upcoming workshop MathBio22 - Mathematical models for biological multiscale systems (Weierstrass Institute for Applied Analysis and Stochastics, Berlin, September 12-14, 2022) Homepage: https://www.wias-berlin.de/workshops/MathBio22/ The aim of the meeting will be to present and discuss research results on mathematical methods that bridge the gap in scale and complexity between microscopic descriptions of biological and biophysical systems with corresponding PDE descriptions. The focus is on the multi-scale nature innate to biological processes connecting interacting biomolecules with complex systems such as cells, tissue, and organs to elucidate macroscopic phenomena, e.g., (cross)diffusion, liquid-liquid phase separation, gelation, growth. The corresponding model hierarchies require innovative and structure- preserving numerical methods, novel simulation techniques, and new analytical tools for the resulting nonlinear PDE systems. The latter concerns in particular questions of well-posedness, long-term behavior, qualitative properties of solutions, and coupling to microscopic, stochastic, or agent-based models. Variational and energy- or entropy-based methods are of particular interest. The workshop will take place in a hybrid form, contributed talks and posters are welcome (limited capacity). Registration (on-site and online) and submission of abstract: https://www.wias-berlin.de/workshops/MathBio22/ Contact: [log in to unmask] ------------------------------------------------------- From: Thomas Apel [log in to unmask] Date: June 13, 2022 Subject: Finite Element Symposium, Germany, Sep 2022 35th Chemnitz Finite Element Symposium, September 15-17, 2022 Location: Herrsching at Lake Ammersee near Munich, Germany Conference website: https://www.chemnitz-am.de/cfem2022 Reminder: deadline for abstract submission: June 30, 2022 The symposium is devoted to all aspects of finite elements and other computer-based methods for solving partial differential equations. Invited speakers 2022: Gitta Kutyniok, Mariano Mateos, Serge Nicaise, Joachim Schoberl, Max Winkler The symposium can be perfectly combined with the Summer School "Uncertainty, Adaptivity, and Machine Learning" (September 12-14 in Augsburg): https://www.uni-augsburg.de/de/fakultaet/mntf/math/prof/numa/veranstaltungen/uam-school/ ------------------------------------------------------- From: Michael Bader [log in to unmask] Date: June 14, 2022 Subject: Supercomputing Spotlights, ONLINE, Jun 2022 Supercomputing Spotlights is a new webinar series, featuring short TED-style presentations that highlight the impact and successes of high-performance computing (HPC) throughout our world. Presentations, emphasizing achievements and opportunities in HPC, are intended for the broad international community, especially students and newcomers to the field. Join us! First session: Supercomputing for Everyone Presenter: Professor Satoshi Matsuoka, RIKEN Center for Computational Science, Japan Monday, June 27, 1:00-1:30 pm UTC (30 minutes) 9 am EDT / 1 pm UTC / 3 pm Central Europe / 10 pm Japan Participation is free, but registration is required. Register: https://exascaleproject.zoomgov.com/meeting/register/vJIsde6uqzgrGjAIUsnDEUr2bzex1LeggyA Abstract: Come and learn how high-performance computing (HPC) fosters scientific discovery! We will look back at nearly two decades of supercomputing innovations that have reshaped the gaming industry, enhanced climate/weather predictions, and facilitated research on drug design. Artificial Intelligence (AI) is yet another game changer. Did you know that AI powered by supercomputers has been at the forefront of rapid research responses in the international fight against Covid-19? This presentation will highlight successful HPC advances and call out opportunities for impacting the future of our global society. Bio: Satoshi Matsuoka is the Director of RIKEN Center for Computational Science, and he oversees the deployment and operation of the Fugaku supercomputer. He has been the leader of the TSUBAME series of supercomputers that pioneered the use of GPUs in supercomputing. He has been a major driving force behind the development of Fugaku, which won first place in four major rankings of supercomputer performance (Top500, HPCG, HPL-AI, and Graph500) in June 2020. He is the recipient of the 2014 IEEE-CS Sidney Fernbach Memorial Award and more recently was awarded the Medal of Honor with purple ribbon from the emperor of Japan. The Supercomputing Spotlights webinar series is presented by the SIAM Activity Group on Supercomputing (SIAG/SC) as part of new SIAG/SC initiatives that focus on raising awareness of HPC opportunities and growing the community. We invite you to get involved! ------------------------------------------------------- From: Karen Veroy-Grepl [log in to unmask] Date: June 15, 2022 Subject: Assistant Professor Position, TU/e Eindhoven University of Technology is aiming to appoint a Tenure-track Assistant Professor in Computational Science at the Center for Analysis, Scientific Computing and Applications in the Department of Mathematics and Computer Science. The Computational Science group focuses on numerical methods for (partial) differential equations, model order reduction, and scientific machine learning, particularly for the efficient solution of differential equations in the context of data assimilation, control, optimization, inverse problems, Bayesian methods, uncertainty quantification, and optimal experimental design. For this position, we are looking for an applied mathematician with expertise in one or more of these fields, and an interest in exploring connections not only to current developments in applied mathematics, but also to applications through academic and industrial collaborations in fields such as medicine, mechanical engineering, electrical engineering, geophysics, and others. During the first six months the position is open to female applicants only; if, after six months, the position has not been filled, the position will then be opened to all applicants. For more information, please visit https://jobs.tue.nl/en/vacancy/assistant-professor-in-computational-science-932807.html or contact Karen Veroy-Grepl . Applications received before 31 July 2022 are guaranteed full consideration, but applications will continue to be screened until the position is filled. ------------------------------------------------------- From: Vanessa Peinhart [log in to unmask] Date: June 15, 2022 Subject: University Assistant Positions, Univ of Graz The Institute of Mathematics and Scientific Computing is looking for two University Assistant with doctorate (m/f/d) within the group of Prof. Dr. Christian Clason: 40 hours a week; fixed-term employment for 6 years*; position to be filled as of now. Your duties: Research in the field of continuous, infinite-dimensional optimization (analysis and numerics); Collaboration in major projects of the institute; if appropriate, own acquisition of third-party funding; Conducting courses and examinations, including in the area of optimisation/numerics; Collaboration in the supervision of students; Possibility to work on a relevant habilitation or qualification for a professorship. Your Profile: Completed doctorate in mathematics; Sound knowledge of infinite-dimensional, nonsmooth, and/ or stochastic/ statistical optimisation; Sound knowledge of the algorithmic implementation of optimisation methods; Interest in interdisciplinary cooperations; High potential for scientific excellence (demonstrated by e.g. relevant publication activity in international peerreviewed journals commensurate with career status); Excellent proficiency in English; Didactic aptitude for independent teaching; Ability to communicate and work in a team. Application deadline: 06.07.2022 Application Links: https://jobs.uni-graz.at/ausschreibung/en/?jh=4xaw1ax1ta1v2bzgtapewkn5zz9yilg https://jobs.uni-graz.at/ausschreibung/en/?jh=gxv0yw01nqn53ss9ms3agqznmurr6zw ------------------------------------------------------- From: Dominik Göddeke [log in to unmask] Date: June 15, 2022 Subject: Postdoc Positions, Quantum Computing Algorithms, Univ of Stuttgart There are several postdoc positions available in the field of Quantum Computing, more precisely in developing novel QC algorithms for questions from applied mathematics, computational chemistry, optimization and PDE solvers. The positions are embedded into the Cluster of Excellence "Data-driven Simulation Science". More information is available at https://bit.ly/3aSE6g8 ------------------------------------------------------- From: Markus Bachmayr [log in to unmask] Date: June 17, 2022 Subject: PhD/Postdoc Positions, Parametric and random PDEs, Germany Several positions in DFG-funded projects that can be filled at PhD or Postdoc level are available at RWTH Aachen, on several different subjects in numerical methods for parameter-dependent or random partial differential equations: - Variationally correct methods based on neural networks for direct and inverse problems for parametric PDEs (project leaders: Markus Bachmayr and Wolfgang Dahmen), - Construction and analysis of solvers combining sparse and low-rank approximations for parametric and random problems with multiscale features (project leaders: Markus Bachmayr and Lars Grasedyck), - Adaptive stochastic Galerkin solvers of optimal computational complexity for PDEs with low-regularity random coefficients (project leader: Markus Bachmayr). Applications will be accepted until the positions are filled. To apply, please send your application materials (motivation letter, CV, publication list, statement of research interests, transcripts) to Julia Schmitt-Holtermann ([log in to unmask]), indicating which of the above areas you are interested in. Informal inquiries are welcome. ------------------------------------------------------- From: Kartik Jain [log in to unmask] Date: June 20, 2022 Subject: PhD Position, Computational Physiology, Univ of Twente, Netherlands A funded PhD position for four years is available in my group at the University of Twente, Netherlands. The goal of the project is to improve our understanding of Type II endoleaks in abdominal aortic aneurysms that occur after an endovascular aneurysm repair (EVAR) procedure in some patients. We aim for a fundamental understanding of the etiology of endoleaks in this project through modeling and simulation. A computational model within the Lattice Boltzmann framework will be developed in the PhD project to enable simulations of arterial pulsations and thrombosis in abdominal aortic aneurysms. Simulations will be carried out on high performance computing resources. The candidate will collaborate with the consortium partners including Rijnstate hospital in Arnhem as well as Medtronic, a global leader in medical devices. The applicants must hold a master's degree in Engineering or Physics, preferably with a focus on Computational Sciences. Programming expertise, thorough understanding of fluid mechanics and exposure to HPC resources are highly desirable. The candidate must be excited to work in an interdisciplinary environment and willing to contribute to medicine using engineering and physics. Salary and other benefits including holiday allowance, vacation days and end of year bonus are in accordance with the Collective Labour Agreement of Dutch Universities. For further information, or to apply, please send the usual documents to Kartik Jain, [log in to unmask] ------------------------------------------------------- From: Idoia Hernandez [log in to unmask] Date: June 16, 2022 Subject: PhD Position, H2020 Project ASTROTECH The past four decades demonstrated that non-neuronal cells, called astrocytes are emerging as crucial players for brain function & dysfunction. A major obstacle of previous and current initiatives on neurotechnologies is a lack of focus on astrocytes and most of the tools used to probe and sense astrocytes are derived from those developed to study neurons. The ASTROTECH (http://www.astrotechproject.eu/) Consortium aims at pioneering the field of "Glial Engineering," to develop a consistent range of tools to record, study, and manipulate astrocytes in the healthy and diseased brain. ASTROTECH will train 15 Early Stage Researchers (ESRs) on research, training and complimentary skills aiming at: (i) engineering biomaterials and nanostructured interfaces to provide in vivo-like in vitro models for controlled and reliable studies of astrocytes in vitro; (ii) fabrication and characterization of nanostructured devices for stimulation, recording and biosensing of astrocytes; (iii) optogenetics tools, optoelectronic device and photonic methods for precise and cell selective stimulation of astrocytes; and (iv) computational approaches to characterize neuron-astrocytes interactions. Specifically, training on state-of-the-art biomaterials interfaces, electronic, photonic devices will be combined with in-depth knowledge on optogenetics, neuroscience, glial physiology and biology and computational approaches to validate the developed tools in vitro, ex vivo and in silico with emphasis on pathological models of glioma, ischemia, epilepsy and depression. Deadline: 15 July 2022 Applications: http://www.bcamath.org/en/research/job/phd-position-for-h2020-project-astrotech-2022 Requirements: MSc degree, preferably in Physics, Mathematics, Engineering or Computer Sciences. High proficiency in spoken and written English. Skills: Proven record of excellence in the Master's training with knowledge of Partial Differential Equations (PDEs) and numerical methods of solution thereof, specifically in the context of Finite Element methods (FEM) and Comptuational Fluid Dynamics (CFD) Methods. Programming proficiency in at least one of the following languages: Python/C++/Julia, and knowledge of FEM/CFD software packages. Excellent communication and interpersonal skills, with ability to effectively communicate ideas to an heterogeneous audience of biologists, medical doctors, and physicists. Ability to work in a fast-changing, international environment. Ability to meet deadlines. Openness towards inclusive science, racial and LGBTQ+ minorities. Excellent capacity for planning, independence, and creativity. The preferred candidate will have a strong interest in neurobiology, and aims to pursue a career in multidisciplinary research in Neuroscience, Quantitative Medicine and Computational Psychiatry. They must be committed to academic research to the highest standards, capable of enduring stressful conditions, including being able to live, integrate and train in multiple international settings. ------------------------------------------------------- From: Heiko Gimperlein [log in to unmask] Date: June 17, 2022 Subject: PhD Position, Medical imaging and inverse problems, Univ Innsbruck The new multidisciplinary FWF Forschungsgruppe "Oxidative damage & repair of membrane lipids in health and disease" offers 5 fully funded PhD positions between mathematics and medicine. The projects are jointly supervised by colleagues from different backgrounds at the University and the Medical University of Innsbruck. The following two PhD projects may be of most interest to mathematicians: P2: LC-MS/MS inverse problem data analysis approach (based at Medical University) P3: Artificial neural network based imaging analysis (based at University of Innsbruck) Screening of applications starts on June 22, 2022. Late applications are welcome. Further information is available at https://www.i-med.ac.at/fg15 or by email ([log in to unmask] or Dr. Lukas Neumann, [log in to unmask]). ------------------------------------------------------- From: Alexander Prechtel [log in to unmask] Date: June 13, 2022 Subject: PhD Position, Modelling and Simulation, FAU Erlangen Within the German Priority Program PP 2089 "Rhizosphere Spatiotemporal Organisation - a Key to Rhizosphere Functions" we have an open position in the section "Modelling and Numerics" (Chair of Applied Mathematics) at the Department of Mathematics, Friedrich-Alexander-Universitat Erlangen-Nurnberg. We are offering a PhD Position in the field of Reactive Transport and Structure Formation in Porous Media for three years starting as soon as possible. The project deals with modelling and simulation of multiscale processes for structure formation in the rhizosphere, which is the region of the soil influenced by plant roots. We use models on the basis of cellular automata and coupled partial differential equations. Further information can be given by the PD Dr. Nadja Ray and Dr. Alexander Prechtel, for information on the priority program see also https://www.ufz.de/spp-rhizosphere . Required is an above-average master's degree in mathematics, physics, integrated life sciences, computational mathematics or a related discipline. We suppose you have some knowledge in mathematical modelling, numerical methods for PDEs, and experience with programming and implementation of algorithms. In particular the interest for solving applied problems in a highly interdisciplinary cooperation with, e.g., soil physicists, chemists, or plant physiologists, is necessary. For more details please see the pdf at https://math.fau.de/prechtel/ Send your application (cover letter, CV, an official listing of your grades, and contact details of a reference, if possible) electronically to [log in to unmask] ------------------------------------------------------- From: Mathias J. Krause [log in to unmask] Date: June 15, 2022 Subject: PhD Position, Optimal control of fluid flows At the Institute of Mechanical Process Engineering and Mechanics (MVM) and the Institute of Applied and Numerical Mathematics (IANM) at the Karlsruhe Institute of Technology (KIT) we are looking for a Research assistant for our team Lattice Boltzmann Research Group. Within the scope of a research project on the (simulative) optimal control of fluid flows, a full-time position is to be filled temporarily. After familiarisation, remuneration is paid according to TV-L, E 13. There is the possibility of a doctorate. Besides enjoying scientific problem analysis as well as mathematical and/or process engineering problems and/or computer science, we expect you to have good programming skills, initiative, imagination and good communication skills in written and spoken German and English. Great importance is attached to working in a team. The Karlsruhe Institute of Technology strives to increase the proportion of women and therefore particularly welcomes applications from women. Severely handicapped applicants will be given preferential consideration if they are equally qualified. Please send applications with the usual documents, preferably electronically in a pdf file, to [log in to unmask] ------------------------------------------------------- From: Romit Maulik [log in to unmask] Date: June 12, 2022 Subject: PhD Positions, Scientific Machine Learning We are looking for multiple Ph.D. students (for Fall 2023) in the Informatics program of the Department of Information Science and Technology (IST) at Pennsylvania State University (PSU) with a focus on Data Science and Artificial Intelligence. We are interested in developing novel algorithms at the intersection of data science, dynamical systems, high-performance computing, and real-world applications such as data-driven forecasting, surrogate-based optimization, multi-fidelity modeling, closure development, extreme value detection, etc. In addition to the team at PSU, the group will also be composed of postdoctoral fellows, graduate, and undergraduate students at Argonne National Laboratory and allow for research at the intersection of academia and National Labs. Successful applicants will have a unique Ph.D. experience with access to Argonne's state-of-the-art supercomputing resources and the ability to deploy their ideas in large-scale collaborative research projects of strategic importance. Interested candidates can reach out Romit Maulik at [log in to unmask] ------------------------------------------------------- From: Andreas Stathopoulos [log in to unmask] Date: June 18, 2022 Subject: Deadline Extension, Copper Mountain Special Issue The deadline for submissions to SIAM J. Scientific Computing for the Copper Mountain Conference on Iterative Methods has been extended to Monday June 27. You can use the journal's submission system at http://sisc.siam.org, with a statement in the cover letter requesting that the paper be considered for the special issue. In addition, the "Copper Mountain Special Section 2022" should be selected in the Special Section dropdown. ------------------------------------------------------- From: Alex Barnett [log in to unmask] Date: June 16, 2022 Subject: Contents, Adv Comput Math (ACOM), 48 (3) Tensor rank bounds for point singularities in R3. C. Marcati, M. Rakhuba, Ch. Schwab (open access). Linear/Ridge expansions: enhancing linear approximations by ridge functions. Constantin Greif, Philipp Junk, Karsten Urban (open access). A new local projection stabilization virtual element method for the Oseen problem on polygonal meshes. Yang Li, Minfu Feng, Yan Luo Numerical investigation into the dependence of the Allen-Cahn equation on the free energy. Yunho Kim, Dongsun Lee Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method. Tingyu Wang, Simon K. Layton, Lorena A. Barba (ACIE topical collection) The essence of invertible frame multipliers in scalability. Hossein Javanshiri, Mohammad Abolghasemi, Ali Akbar Arefijamaal Optimal control for a coupled spin-polarized current and magnetization system. Xin An, Ananta K. Majee, Andreas Prohl, Thanh Tran (open access). A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations. Jun Liu, Xiang-Sheng Wang, Shu-Lin Wu, Tao Zhou Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations. Bo Zheng, Jin Qin, Yueqiang Shang Development and analysis of two new finite element schemes for a time- domain carpet cloak model. Jichun Li, Chi-Wang Shu, Wei Yang Implicit finite volume method with a posteriori limiting for transport networks. Matthias Eimer, Raul Borsche, Norbert Siedow. (open access). Randomized continuous frames in time-frequency analysis. Ron Levie, Haim Avron. A multilevel Newton's method for the Steklov eigenvalue problem. Meiling Yue, Fei Xu, Manting Xie A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations. Rob Stevenson, Raymond Venetie, Jan Westerdiep (open access). A fast solver for elastic scattering from axisymmetric objects by boundary integral equations. J. Lai, H. Dong (ACIE topcial collection) One-step optimization method for equilibrium problems. Dang Hieu, Le Dung Muu, Pham Kim Quy H2Opus: a distributed-memory multi-GPU software package for non- local operators. Stefano Zampini, Wajih Boukaram, George Turkiyyah, Omar Knio, David Keyes. (ACIE topical collection) Numerical analysis of a chemotaxis model for tumor invasion. Jhean E. Perez-Lopez, Diego A. Rueda-Gomez, Elder J. Villamizar-Roa Fast gradient methods for uniformly convex and weakly smooth problems. Jongho Park Stokes equations under Tresca friction boundary condition: a truncated approach. Jules K. Djoko, Jonas Koko, Sognia Konlack A new linearized fourth-order conservative compact difference scheme for the SRLW equations. Yuyu He, Xiaofeng Wang, Ruihua Zhong Stabilization of spline bases by extension. Ba-Duong Chu, Florian Martin, Ulrich Reif (open access). ------------------------------------------------------- End of Digest **************************